1. C HAPTER 7 R EVIEW By Sarah & Gabby

2. 7-1 P ARALLEL L INES AND RELATED A NGLES A transversal is a line that intersects two coplanar lines at two distinct points. The blue line is a transversal.

3. 7-1 P ARALLEL L INES AND RELATED A NGLES Corresponding angles are always congruent. Think of them as “sliders”. They slide down a transversal and land on its corresponding angle. <A & <B are corresponding angles.

4. 7-1 P ARALLEL L INES AND R ELATED A NGLES Alternate interior angles are also always congruent. They are found inside the parallel lines and on opposite sides of the transversal. <A & <D are alternate interior angles.

5. 7-1 P ARALLEL L INES AND R ELATED A NGLES Same side interior angles are supplementary. They are located on the interior and on the same side of the transversal. <3 and <5 are same side interior angles. <4 and <6 are also same side interior angles.

6. 7-2 P ROVING L INES P ARALLEL If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel. If <Q=<R, then AB ll CD.

7. 7-2 P ROVING T WO L INES P ARALLEL If two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel. If <3=<6, then p ll q.

8. 7-2 P ROVING T WO L INES P ARALLEL If two lines are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel. If <4 and <6 are supplementary, then p ll q.

9. G RAPHING L INES The standard equation of a line in y-intercept form is: y=mx+b By using this equation, you can tell if two lines are parallel, perpendicular, or neither, without graphing them. For example, parallel lines have the same slope: y= 5 x+3 and y= 5 x+7 are parallel lines since they both have a slope of 5.

10. G RAPHING L INES You can also determine perpendicular lines. For example: y= 3 x-4 and y= -1/3 x-7 are perpendicular because their slopes are negative reciprocals of each other. If the slopes are not equal or negative reciprocals of each other, you cannot determine them to be parallel or perpendicular. Example: y=4x+7 and y=-6x-9 are neither parallel nor perpendicular.

11. G RAPHING L INES In order to graph the equation y=-2x+4, first you must graph the y intercept, which is 4. Once you mark your point on the y-axis, you determine the slope. In this equation, the slope is -2 or -2/1. When you graph a line, the slope is rise over run. Therefore, you would go 2 down since the slope is negative, followed by 1 to the right. After you’ve placed your points on the graph, you end up with a line that looks like this:

12. G RAPHING L INES

13. D ETERMINING S LOPE To find the slope of a line we use the formula: m=y 2 -y 1 x 2 -x 1 Example: A(1,3) B(2,5) m=5-3 2-1 The slope is 2/1 or 2.

15. BINGO GAME

16. BINGO Find the value of x. ANSWER: x=65

17. BINGO Are the lines parallel, perpendicular, or neither? y=3x-4 y=-1/2x+3. ANSWER: neither

18. BINGO Find the value of x. ANSWER: x=21

19. BINGO Are the lines parallel, perpendicular, or neither? X=4 Y=-2 ANSWER: perpendicular

20. BINGO Find the measure of <1. ANSWER: <1=40

21. BINGO Find the slope of: A(2,0) B(2,4) ANSWER: undefined

22. BINGO Find the measure of angles 2 & 3. ANSWER: <2=40 <3=140

23. BINGO If <2=85, find the m<6. ANSWER: m<6=85

24. BINGO Determine the slope and tell if the lines are parallel, perpendicular or neither. A(0,3) B(-2,3) and C(5,-1) D(5,3) ANSWER: 0/-2 ; 4/0 ; perpendicular

25. BINGO Determine the slope of points A & B. A(-3,5) B(2,3) ANSWER: 2/-5

26. BINGO Find the measure of <H. ANSWER: <H= 110

27. BINGO What type of angles are <1 and <5? ANSWER: corresponding angles

28. BINGO Find the slope of: A(-4,1) B(1,3) ANSWER: -2/-5 (2/5)

29. BINGO What type of angles are <3 and <6? ANSWER: alternate interior angles

30. BINGO What type of angles are <3 and <5? ANSWER: same side interior angles

31. BINGO Give the angle to make the following true, <7=_______. ANSWER: < 3